A reverse coarea-type inequality in Carnot groups

IF 0.8 4区数学 Q2 MATHEMATICS

Annales De L Institut Fourier Pub Date : 2022-07-01 DOI:10.5802/aif.3474

Francesca Corni

引用次数: 0

Abstract

. We prove a coarea-type inequality for a continuously Pansu diﬀerentiable function acting between two Carnot groups endowed with homogeneous distances. We assume that the level sets of the function are uniformly lower Ahlfors regular and that the Pansu diﬀerential is everywhere surjective.

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卡诺群中的一个逆coarea型不等式

.我们证明了作用在具有齐次距离的两个卡诺群之间的连续Pansu可微分函数的共面积型不等式。我们假设函数的水平集是一致的较低的Ahlfors正则的，并且Pansu微分是处处满射的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.